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Conics
Polynomial Equations
Conics II
Trigonometry
Random
100
Find the distance between (3,6) and (4,2)
√65
100
If w is directly proportional to z, and z=81 when w=45, find z when w=120
z=216
100
Find the coordinates of Q given that M is the midpoint of line segment PQ. P(-4,0), M(3,3)
(10,6)
100
All six trig functions of 5π/3
cos: 1/2 sec: 2 sin: -√3/2 csc: -2√3/3 tan: -√3 cot: -√3/3
100
Simplify: cosx +tanxsinx
secx
200
Find the center and the radius of the circle whose equation is x²+y²+12x-4y+32=0
center=(-6,2) radius=2√2
200
Divide: 6x³+x²y-9xy²-5y³ ÷ 2x+y
3x²-xy-4y²-(y³/2x+y)
200
Identify the conic 4x²-25y²-24x+50y-89=0
Hyperbola
200
What angle is coterminal with -210°?
150°
200
Solve for x. 0
7π/6, 11π/6
300
Find the equation of the perpendicular bisector of the segment joining the points (-3,8) and (5,4).
y=2x+4
300
Use synthetic division to divide 2x^4-3x³-5x+4 by x-2
2x³+x²+2x-1+(2/x-2)
300
Find the vertex, focus, directrix, and axis of symmetry for the following parabola: x²+10x-2y+21=0
vertex: (-5,-2) focus: (-5,-3/2) directrix: y=-5/2 axis of symmetry: x=-5
300
Find the area of triangleRST if r=9, s=12, and angleT=53.7°
43.5
300
Solve this system: x+y+z=2 x-2y-z=2 3x+2y+z=2
(1,-2,3)
400
Find an equation of an ellipse having foci (3,0) and (-3,0) and sum of focal radii 8.
x²/16 + y²/7 = 1
400
Find the polynomial Q(x) and the constant R so that 2x³+3x²+2x+3=(x-i)Q(x)+R
Q(x)=2x²+(3+2i)x+3i R=0
400
Find an equation of the hyperbola with foci (3,-8) (3,-2) and the difference of focal radii being 4.
(y+5)²/9 - (x-5)²/7 =1
400
Determine whether the following is even, odd, or neither: x² cotx
Odd
400
Is x+1 a factor of x^7+x^4+x+1
Yes
500
Write an equation in standard form of the parabola with vertex (-3,2) and focus (-3,8).
(y-2)=1/24(x+3)²
500
Find a cubic equation with integral coefficients that has -2 and 1+3i as roots.
x³+6x+20=0
500
Find the real solutions of the system: x^2+y^2=17 x^2-2y=9
(1,-4) (-1,-4) (√13,2) (-√13,2)
500
If 180°360°, and cos x= -21/29, find cos x/2
-2√29/29
500
sin 7π/12
1/2√2+√3